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Finding the Fourth Proportional to 30,286.98, 45,430.68 and 10,565.46

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Solution

The fourth proportional to 30,286.98, 45,430.68 and 10,565.46 is: 15,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.98 : 45,430.68 = 10,565.46 : x
  2. Step 2: Convert to fraction form
    30,286.98/45,430.68 = 10,565.46/x
  3. Step 3: Cross multiply
    30,286.98x = 45,430.68 × 10,565.46
  4. Step 4: Simplify right side
    30,286.98x = 479,996,032.31
  5. Step 5: Solve for x
    x = 479,996,032.31/30,286.98
  6. Step 6: Final answer
    x = 15,848.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.